If  $\underset{\mathrm{x}\to 0}{lim} \frac{\mathrm{asin}\mathrm{x}-\mathrm{bx}+{\mathrm{cx}}^2+{\mathrm{x}}^3}{2{\mathrm{x}}^2\log (1+\mathrm{x})-2{\mathrm{x}}^3+{\mathrm{x}}^4}$exists and finite , then which of the following is not correct? 

$\underset{\mathrm{x}\to 0}{lim} \frac{\mathrm{a}\left(\mathrm{x}-\frac{{\mathrm{x}}^3}{3!}+\frac{{\mathrm{x}}^5}{5!}\dots \right)-\mathrm{bx}+{\mathrm{cx}}^2+{\mathrm{x}}^3}{2{\mathrm{x}}^2\left(\mathrm{x}-\frac{{\mathrm{x}}^2}{2}+\frac{{\mathrm{x}}^3}{3}\dots \dots \right)-2{\mathrm{x}}^3+{\mathrm{x}}^4}$
$\underset{\mathrm{x}\to 0}{lim} \frac{(\mathrm{a}-\mathrm{b})\mathrm{x}+{\mathrm{cx}}^2+\left(1-\frac{\mathrm{a}}{3!}\right){\mathrm{x}}^3+\frac{\mathrm{a}}{5!}{\mathrm{x}}^5\dots \dots \dots .}{\frac{2}{3}{\mathrm{x}}^5-\frac{2}{4}{\mathrm{x}}^6+\dots \dots \dots }$
Limit is finite, if